Algebra Examples

$3 (x + 4) (x + 1) (x - 3)$

Step 1

Set $3 (x + 4) (x + 1) (x - 3)$ equal to $0$ .

$3 (x + 4) (x + 1) (x - 3) = 0$

Step 2

Solve for $x$ .

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Step 2.1

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$x + 4 = 0$

$x + 1 = 0$

$x - 3 = 0$

Step 2.2

Set $x + 4$ equal to $0$ and solve for $x$ .

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Step 2.2.1

Set $x + 4$ equal to $0$ .

$x + 4 = 0$

Step 2.2.2

Subtract $4$ from both sides of the equation.

$x = - 4$

Step 2.3

Set $x + 1$ equal to $0$ and solve for $x$ .

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Step 2.3.1

Set $x + 1$ equal to $0$ .

$x + 1 = 0$

Step 2.3.2

Subtract $1$ from both sides of the equation.

$x = - 1$

Step 2.4

Set $x - 3$ equal to $0$ and solve for $x$ .

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Step 2.4.1

Set $x - 3$ equal to $0$ .

$x - 3 = 0$

Step 2.4.2

Add $3$ to both sides of the equation.

$x = 3$

Step 2.5

The final solution is all the values that make $3 (x + 4) (x + 1) (x - 3) = 0$ true.

$x = - 4, - 1, 3$

Step 3